Finding the Third Proportional to 77,816 and 173,776

Step by Step Solution

1. Step 1: Write the proportion equation
   77,816 : 173,776 = 173,776 : x
2. Step 2: Convert to fraction form
   77,816/173,776 = 173,776/x
3. Step 3: Cross multiply
   77,816x = 173,776 × 173,776
4. Step 4: Simplify right side
   77,816x = 30,198,098,176
5. Step 5: Solve for x
   x = 30,198,098,176/77,816
6. Step 6: Final answer
   x = 388,070.55