Finding the Third Proportional to 98,827.50 and 147,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,827.50 : 147,970.50 = 147,970.50 : x
2. Step 2: Convert to fraction form
   98,827.50/147,970.50 = 147,970.50/x
3. Step 3: Cross multiply
   98,827.50x = 147,970.50 × 147,970.50
4. Step 4: Simplify right side
   98,827.50x = 21,895,268,870.25
5. Step 5: Solve for x
   x = 21,895,268,870.25/98,827.50
6. Step 6: Final answer
   x = 221,550.37