Finding the Third Proportional to 81,005.50 and 174,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,005.50 : 174,428.50 = 174,428.50 : x
2. Step 2: Convert to fraction form
   81,005.50/174,428.50 = 174,428.50/x
3. Step 3: Cross multiply
   81,005.50x = 174,428.50 × 174,428.50
4. Step 4: Simplify right side
   81,005.50x = 30,425,301,612.25
5. Step 5: Solve for x
   x = 30,425,301,612.25/81,005.50
6. Step 6: Final answer
   x = 375,595.50