Finding the Third Proportional to 69,234 and 149,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,234 : 149,077.50 = 149,077.50 : x
2. Step 2: Convert to fraction form
   69,234/149,077.50 = 149,077.50/x
3. Step 3: Cross multiply
   69,234x = 149,077.50 × 149,077.50
4. Step 4: Simplify right side
   69,234x = 22,224,101,006.25
5. Step 5: Solve for x
   x = 22,224,101,006.25/69,234
6. Step 6: Final answer
   x = 320,999.81