Finding the Third Proportional to 136,468.50 and 185,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,468.50 : 185,407.50 = 185,407.50 : x
2. Step 2: Convert to fraction form
   136,468.50/185,407.50 = 185,407.50/x
3. Step 3: Cross multiply
   136,468.50x = 185,407.50 × 185,407.50
4. Step 4: Simplify right side
   136,468.50x = 34,375,941,056.25
5. Step 5: Solve for x
   x = 34,375,941,056.25/136,468.50
6. Step 6: Final answer
   x = 251,896.53