Finding the Third Proportional to 45,598.50 and 100,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,598.50 : 100,402.50 = 100,402.50 : x
2. Step 2: Convert to fraction form
   45,598.50/100,402.50 = 100,402.50/x
3. Step 3: Cross multiply
   45,598.50x = 100,402.50 × 100,402.50
4. Step 4: Simplify right side
   45,598.50x = 10,080,662,006.25
5. Step 5: Solve for x
   x = 10,080,662,006.25/45,598.50
6. Step 6: Final answer
   x = 221,074.42