Finding the Third Proportional to 214,407 and 307,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,407 : 307,435.50 = 307,435.50 : x
2. Step 2: Convert to fraction form
   214,407/307,435.50 = 307,435.50/x
3. Step 3: Cross multiply
   214,407x = 307,435.50 × 307,435.50
4. Step 4: Simplify right side
   214,407x = 94,516,586,660.25
5. Step 5: Solve for x
   x = 94,516,586,660.25/214,407
6. Step 6: Final answer
   x = 440,827.90