Finding the Third Proportional to 72,738 and 152,583.75

Step by Step Solution

1. Step 1: Write the proportion equation
   72,738 : 152,583.75 = 152,583.75 : x
2. Step 2: Convert to fraction form
   72,738/152,583.75 = 152,583.75/x
3. Step 3: Cross multiply
   72,738x = 152,583.75 × 152,583.75
4. Step 4: Simplify right side
   72,738x = 23,281,800,764.06
5. Step 5: Solve for x
   x = 23,281,800,764.06/72,738
6. Step 6: Final answer
   x = 320,077.55