Finding the Third Proportional to 177,511.50 and 386,370

Step by Step Solution

1. Step 1: Write the proportion equation
   177,511.50 : 386,370 = 386,370 : x
2. Step 2: Convert to fraction form
   177,511.50/386,370 = 386,370/x
3. Step 3: Cross multiply
   177,511.50x = 386,370 × 386,370
4. Step 4: Simplify right side
   177,511.50x = 149,281,776,900
5. Step 5: Solve for x
   x = 149,281,776,900/177,511.50
6. Step 6: Final answer
   x = 840,969.61