Finding the Third Proportional to 214,432.50 and 314,484

Step by Step Solution

1. Step 1: Write the proportion equation
   214,432.50 : 314,484 = 314,484 : x
2. Step 2: Convert to fraction form
   214,432.50/314,484 = 314,484/x
3. Step 3: Cross multiply
   214,432.50x = 314,484 × 314,484
4. Step 4: Simplify right side
   214,432.50x = 98,900,186,256
5. Step 5: Solve for x
   x = 98,900,186,256/214,432.50
6. Step 6: Final answer
   x = 461,218.27