Finding the Third Proportional to 152,427 and 214,461

Step by Step Solution

1. Step 1: Write the proportion equation
   152,427 : 214,461 = 214,461 : x
2. Step 2: Convert to fraction form
   152,427/214,461 = 214,461/x
3. Step 3: Cross multiply
   152,427x = 214,461 × 214,461
4. Step 4: Simplify right side
   152,427x = 45,993,520,521
5. Step 5: Solve for x
   x = 45,993,520,521/152,427
6. Step 6: Final answer
   x = 301,741.30