Finding the Third Proportional to 127,632 and 182,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,632 : 182,686.50 = 182,686.50 : x
2. Step 2: Convert to fraction form
   127,632/182,686.50 = 182,686.50/x
3. Step 3: Cross multiply
   127,632x = 182,686.50 × 182,686.50
4. Step 4: Simplify right side
   127,632x = 33,374,357,282.25
5. Step 5: Solve for x
   x = 33,374,357,282.25/127,632
6. Step 6: Final answer
   x = 261,488.95