Finding the Third Proportional to 81,368.30 and 178,498.69

Step by Step Solution

1. Step 1: Write the proportion equation
   81,368.30 : 178,498.69 = 178,498.69 : x
2. Step 2: Convert to fraction form
   81,368.30/178,498.69 = 178,498.69/x
3. Step 3: Cross multiply
   81,368.30x = 178,498.69 × 178,498.69
4. Step 4: Simplify right side
   81,368.30x = 31,861,781,439.22
5. Step 5: Solve for x
   x = 31,861,781,439.22/81,368.30
6. Step 6: Final answer
   x = 391,574.88