Finding the Third Proportional to 77,100.29 and 178,475.43

Step by Step Solution

1. Step 1: Write the proportion equation
   77,100.29 : 178,475.43 = 178,475.43 : x
2. Step 2: Convert to fraction form
   77,100.29/178,475.43 = 178,475.43/x
3. Step 3: Cross multiply
   77,100.29x = 178,475.43 × 178,475.43
4. Step 4: Simplify right side
   77,100.29x = 31,853,479,699.31
5. Step 5: Solve for x
   x = 31,853,479,699.31/77,100.29
6. Step 6: Final answer
   x = 413,143.43