Finding the Third Proportional to 299,722.50 and 465,840

Step by Step Solution

1. Step 1: Write the proportion equation
   299,722.50 : 465,840 = 465,840 : x
2. Step 2: Convert to fraction form
   299,722.50/465,840 = 465,840/x
3. Step 3: Cross multiply
   299,722.50x = 465,840 × 465,840
4. Step 4: Simplify right side
   299,722.50x = 217,006,905,600
5. Step 5: Solve for x
   x = 217,006,905,600/299,722.50
6. Step 6: Final answer
   x = 724,026.08