Finding the Third Proportional to 152,001 and 233,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,001 : 233,977.50 = 233,977.50 : x
2. Step 2: Convert to fraction form
   152,001/233,977.50 = 233,977.50/x
3. Step 3: Cross multiply
   152,001x = 233,977.50 × 233,977.50
4. Step 4: Simplify right side
   152,001x = 54,745,470,506.25
5. Step 5: Solve for x
   x = 54,745,470,506.25/152,001
6. Step 6: Final answer
   x = 360,165.20