Finding the Third Proportional to 55,971 and 152,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,971 : 152,077.50 = 152,077.50 : x
2. Step 2: Convert to fraction form
   55,971/152,077.50 = 152,077.50/x
3. Step 3: Cross multiply
   55,971x = 152,077.50 × 152,077.50
4. Step 4: Simplify right side
   55,971x = 23,127,566,006.25
5. Step 5: Solve for x
   x = 23,127,566,006.25/55,971
6. Step 6: Final answer
   x = 413,206.23