Finding the Third Proportional to 77,471 and 109,095

Step by Step Solution

1. Step 1: Write the proportion equation
   77,471 : 109,095 = 109,095 : x
2. Step 2: Convert to fraction form
   77,471/109,095 = 109,095/x
3. Step 3: Cross multiply
   77,471x = 109,095 × 109,095
4. Step 4: Simplify right side
   77,471x = 11,901,719,025
5. Step 5: Solve for x
   x = 11,901,719,025/77,471
6. Step 6: Final answer
   x = 153,628.05