Finding the Third Proportional to 136,539 and 199,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,539 : 199,612.50 = 199,612.50 : x
2. Step 2: Convert to fraction form
   136,539/199,612.50 = 199,612.50/x
3. Step 3: Cross multiply
   136,539x = 199,612.50 × 199,612.50
4. Step 4: Simplify right side
   136,539x = 39,845,150,156.25
5. Step 5: Solve for x
   x = 39,845,150,156.25/136,539
6. Step 6: Final answer
   x = 291,822.48