Finding the Third Proportional to 120,783,441,490 and 262,772,850,146

Step by Step Solution

1. Step 1: Write the proportion equation
   120,783,441,490 : 262,772,850,146 = 262,772,850,146 : x
2. Step 2: Convert to fraction form
   120,783,441,490/262,772,850,146 = 262,772,850,146/x
3. Step 3: Cross multiply
   120,783,441,490x = 262,772,850,146 × 262,772,850,146
4. Step 4: Simplify right side
   120,783,441,490x = 69,049,570,773,852,171,010,048
5. Step 5: Solve for x
   x = 69,049,570,773,852,171,010,048/120,783,441,490
6. Step 6: Final answer
   x = 571,680,769,499.92