Finding the Third Proportional to 96,771 and 152,068.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,771 : 152,068.50 = 152,068.50 : x
2. Step 2: Convert to fraction form
   96,771/152,068.50 = 152,068.50/x
3. Step 3: Cross multiply
   96,771x = 152,068.50 × 152,068.50
4. Step 4: Simplify right side
   96,771x = 23,124,828,692.25
5. Step 5: Solve for x
   x = 23,124,828,692.25/96,771
6. Step 6: Final answer
   x = 238,964.45