Finding the Third Proportional to 45,632.25 and 97,566.75

Step by Step Solution

1. Step 1: Write the proportion equation
   45,632.25 : 97,566.75 = 97,566.75 : x
2. Step 2: Convert to fraction form
   45,632.25/97,566.75 = 97,566.75/x
3. Step 3: Cross multiply
   45,632.25x = 97,566.75 × 97,566.75
4. Step 4: Simplify right side
   45,632.25x = 9,519,270,705.56
5. Step 5: Solve for x
   x = 9,519,270,705.56/45,632.25
6. Step 6: Final answer
   x = 208,608.40