Finding the Third Proportional to 149,732 and 219,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,732 : 219,024.50 = 219,024.50 : x
2. Step 2: Convert to fraction form
   149,732/219,024.50 = 219,024.50/x
3. Step 3: Cross multiply
   149,732x = 219,024.50 × 219,024.50
4. Step 4: Simplify right side
   149,732x = 47,971,731,600.25
5. Step 5: Solve for x
   x = 47,971,731,600.25/149,732
6. Step 6: Final answer
   x = 320,383.96