Finding the Third Proportional to 81,002.50 and 174,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,002.50 : 174,422.50 = 174,422.50 : x
2. Step 2: Convert to fraction form
   81,002.50/174,422.50 = 174,422.50/x
3. Step 3: Cross multiply
   81,002.50x = 174,422.50 × 174,422.50
4. Step 4: Simplify right side
   81,002.50x = 30,423,208,506.25
5. Step 5: Solve for x
   x = 30,423,208,506.25/81,002.50
6. Step 6: Final answer
   x = 375,583.57