Finding the Third Proportional to 55,974 and 152,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,974 : 152,085.50 = 152,085.50 : x
2. Step 2: Convert to fraction form
   55,974/152,085.50 = 152,085.50/x
3. Step 3: Cross multiply
   55,974x = 152,085.50 × 152,085.50
4. Step 4: Simplify right side
   55,974x = 23,129,999,310.25
5. Step 5: Solve for x
   x = 23,129,999,310.25/55,974
6. Step 6: Final answer
   x = 413,227.56