Finding the Third Proportional to 120,657 and 265,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,657 : 265,006.50 = 265,006.50 : x
2. Step 2: Convert to fraction form
   120,657/265,006.50 = 265,006.50/x
3. Step 3: Cross multiply
   120,657x = 265,006.50 × 265,006.50
4. Step 4: Simplify right side
   120,657x = 70,228,445,042.25
5. Step 5: Solve for x
   x = 70,228,445,042.25/120,657
6. Step 6: Final answer
   x = 582,050.32