Finding the Third Proportional to 77,458 and 109,076

Step by Step Solution

1. Step 1: Write the proportion equation
   77,458 : 109,076 = 109,076 : x
2. Step 2: Convert to fraction form
   77,458/109,076 = 109,076/x
3. Step 3: Cross multiply
   77,458x = 109,076 × 109,076
4. Step 4: Simplify right side
   77,458x = 11,897,573,776
5. Step 5: Solve for x
   x = 11,897,573,776/77,458
6. Step 6: Final answer
   x = 153,600.32