Finding the Third Proportional to 72,538.50 and 153,886.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,538.50 : 153,886.50 = 153,886.50 : x
2. Step 2: Convert to fraction form
   72,538.50/153,886.50 = 153,886.50/x
3. Step 3: Cross multiply
   72,538.50x = 153,886.50 × 153,886.50
4. Step 4: Simplify right side
   72,538.50x = 23,681,054,882.25
5. Step 5: Solve for x
   x = 23,681,054,882.25/72,538.50
6. Step 6: Final answer
   x = 326,461.88