Finding the Third Proportional to 72,802.50 and 158,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,802.50 : 158,422.50 = 158,422.50 : x
2. Step 2: Convert to fraction form
   72,802.50/158,422.50 = 158,422.50/x
3. Step 3: Cross multiply
   72,802.50x = 158,422.50 × 158,422.50
4. Step 4: Simplify right side
   72,802.50x = 25,097,688,506.25
5. Step 5: Solve for x
   x = 25,097,688,506.25/72,802.50
6. Step 6: Final answer
   x = 344,736.63