Finding the Third Proportional to 118,496 and 253,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,496 : 253,599.50 = 253,599.50 : x
2. Step 2: Convert to fraction form
   118,496/253,599.50 = 253,599.50/x
3. Step 3: Cross multiply
   118,496x = 253,599.50 × 253,599.50
4. Step 4: Simplify right side
   118,496x = 64,312,706,400.25
5. Step 5: Solve for x
   x = 64,312,706,400.25/118,496
6. Step 6: Final answer
   x = 542,741.58