Finding the Third Proportional to 224,866 and 341,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   224,866 : 341,903.50 = 341,903.50 : x
2. Step 2: Convert to fraction form
   224,866/341,903.50 = 341,903.50/x
3. Step 3: Cross multiply
   224,866x = 341,903.50 × 341,903.50
4. Step 4: Simplify right side
   224,866x = 116,898,003,312.25
5. Step 5: Solve for x
   x = 116,898,003,312.25/224,866
6. Step 6: Final answer
   x = 519,856.28