Finding the Third Proportional to 224,095.50 and 468,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   224,095.50 : 468,967.50 = 468,967.50 : x
2. Step 2: Convert to fraction form
   224,095.50/468,967.50 = 468,967.50/x
3. Step 3: Cross multiply
   224,095.50x = 468,967.50 × 468,967.50
4. Step 4: Simplify right side
   224,095.50x = 219,930,516,056.25
5. Step 5: Solve for x
   x = 219,930,516,056.25/224,095.50
6. Step 6: Final answer
   x = 981,414.25