Finding the Third Proportional to 72,984 and 105,468

Step by Step Solution

1. Step 1: Write the proportion equation
   72,984 : 105,468 = 105,468 : x
2. Step 2: Convert to fraction form
   72,984/105,468 = 105,468/x
3. Step 3: Cross multiply
   72,984x = 105,468 × 105,468
4. Step 4: Simplify right side
   72,984x = 11,123,499,024
5. Step 5: Solve for x
   x = 11,123,499,024/72,984
6. Step 6: Final answer
   x = 152,410.10