Finding the Third Proportional to 123,642 and 253,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,642 : 253,156.50 = 253,156.50 : x
2. Step 2: Convert to fraction form
   123,642/253,156.50 = 253,156.50/x
3. Step 3: Cross multiply
   123,642x = 253,156.50 × 253,156.50
4. Step 4: Simplify right side
   123,642x = 64,088,213,492.25
5. Step 5: Solve for x
   x = 64,088,213,492.25/123,642
6. Step 6: Final answer
   x = 518,336.92