Finding the Third Proportional to 523,385 and 830,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   523,385 : 830,101.50 = 830,101.50 : x
2. Step 2: Convert to fraction form
   523,385/830,101.50 = 830,101.50/x
3. Step 3: Cross multiply
   523,385x = 830,101.50 × 830,101.50
4. Step 4: Simplify right side
   523,385x = 689,068,500,302.25
5. Step 5: Solve for x
   x = 689,068,500,302.25/523,385
6. Step 6: Final answer
   x = 1,316,561.42