Finding the Third Proportional to 123,772.50 and 185,931

Step by Step Solution

1. Step 1: Write the proportion equation
   123,772.50 : 185,931 = 185,931 : x
2. Step 2: Convert to fraction form
   123,772.50/185,931 = 185,931/x
3. Step 3: Cross multiply
   123,772.50x = 185,931 × 185,931
4. Step 4: Simplify right side
   123,772.50x = 34,570,336,761
5. Step 5: Solve for x
   x = 34,570,336,761/123,772.50
6. Step 6: Final answer
   x = 279,305.47