Finding the Third Proportional to 102,356 and 156,774

Step by Step Solution

1. Step 1: Write the proportion equation
   102,356 : 156,774 = 156,774 : x
2. Step 2: Convert to fraction form
   102,356/156,774 = 156,774/x
3. Step 3: Cross multiply
   102,356x = 156,774 × 156,774
4. Step 4: Simplify right side
   102,356x = 24,578,087,076
5. Step 5: Solve for x
   x = 24,578,087,076/102,356
6. Step 6: Final answer
   x = 240,123.56