Finding the Third Proportional to 185,301 and 386,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,301 : 386,275.50 = 386,275.50 : x
2. Step 2: Convert to fraction form
   185,301/386,275.50 = 386,275.50/x
3. Step 3: Cross multiply
   185,301x = 386,275.50 × 386,275.50
4. Step 4: Simplify right side
   185,301x = 149,208,761,900.25
5. Step 5: Solve for x
   x = 149,208,761,900.25/185,301
6. Step 6: Final answer
   x = 805,223.73