Finding the Third Proportional to 380,362,116,564 and 829,068,047,592

Step by Step Solution

1. Step 1: Write the proportion equation
   380,362,116,564 : 829,068,047,592 = 829,068,047,592 : x
2. Step 2: Convert to fraction form
   380,362,116,564/829,068,047,592 = 829,068,047,592/x
3. Step 3: Cross multiply
   380,362,116,564x = 829,068,047,592 × 829,068,047,592
4. Step 4: Simplify right side
   380,362,116,564x = 687,353,827,538,010,730,659,840
5. Step 5: Solve for x
   x = 687,353,827,538,010,730,659,840/380,362,116,564
6. Step 6: Final answer
   x = 1,807,103,803,468.18