Finding the Third Proportional to 237,142.50 and 364,461

Step by Step Solution

1. Step 1: Write the proportion equation
   237,142.50 : 364,461 = 364,461 : x
2. Step 2: Convert to fraction form
   237,142.50/364,461 = 364,461/x
3. Step 3: Cross multiply
   237,142.50x = 364,461 × 364,461
4. Step 4: Simplify right side
   237,142.50x = 132,831,820,521
5. Step 5: Solve for x
   x = 132,831,820,521/237,142.50
6. Step 6: Final answer
   x = 560,135.03