Finding the Third Proportional to 61,186.50 and 125,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,186.50 : 125,665.50 = 125,665.50 : x
2. Step 2: Convert to fraction form
   61,186.50/125,665.50 = 125,665.50/x
3. Step 3: Cross multiply
   61,186.50x = 125,665.50 × 125,665.50
4. Step 4: Simplify right side
   61,186.50x = 15,791,817,890.25
5. Step 5: Solve for x
   x = 15,791,817,890.25/61,186.50
6. Step 6: Final answer
   x = 258,093.17