Finding the Third Proportional to 102,366 and 156,789

Step by Step Solution

1. Step 1: Write the proportion equation
   102,366 : 156,789 = 156,789 : x
2. Step 2: Convert to fraction form
   102,366/156,789 = 156,789/x
3. Step 3: Cross multiply
   102,366x = 156,789 × 156,789
4. Step 4: Simplify right side
   102,366x = 24,582,790,521
5. Step 5: Solve for x
   x = 24,582,790,521/102,366
6. Step 6: Final answer
   x = 240,146.05