Finding the Third Proportional to 179,882 and 386,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   179,882 : 386,978.50 = 386,978.50 : x
2. Step 2: Convert to fraction form
   179,882/386,978.50 = 386,978.50/x
3. Step 3: Cross multiply
   179,882x = 386,978.50 × 386,978.50
4. Step 4: Simplify right side
   179,882x = 149,752,359,462.25
5. Step 5: Solve for x
   x = 149,752,359,462.25/179,882
6. Step 6: Final answer
   x = 832,503.30