Finding the Third Proportional to 77,140 and 169,076

Step by Step Solution

1. Step 1: Write the proportion equation
   77,140 : 169,076 = 169,076 : x
2. Step 2: Convert to fraction form
   77,140/169,076 = 169,076/x
3. Step 3: Cross multiply
   77,140x = 169,076 × 169,076
4. Step 4: Simplify right side
   77,140x = 28,586,693,776
5. Step 5: Solve for x
   x = 28,586,693,776/77,140
6. Step 6: Final answer
   x = 370,581.98