Finding the Third Proportional to 98,776.50 and 233,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,776.50 : 233,074.50 = 233,074.50 : x
2. Step 2: Convert to fraction form
   98,776.50/233,074.50 = 233,074.50/x
3. Step 3: Cross multiply
   98,776.50x = 233,074.50 × 233,074.50
4. Step 4: Simplify right side
   98,776.50x = 54,323,722,550.25
5. Step 5: Solve for x
   x = 54,323,722,550.25/98,776.50
6. Step 6: Final answer
   x = 549,966.06