Finding the Third Proportional to 187,642.50 and 382,926

Step by Step Solution

1. Step 1: Write the proportion equation
   187,642.50 : 382,926 = 382,926 : x
2. Step 2: Convert to fraction form
   187,642.50/382,926 = 382,926/x
3. Step 3: Cross multiply
   187,642.50x = 382,926 × 382,926
4. Step 4: Simplify right side
   187,642.50x = 146,632,321,476
5. Step 5: Solve for x
   x = 146,632,321,476/187,642.50
6. Step 6: Final answer
   x = 781,445.15