Finding the Third Proportional to 72,784.50 and 159,146.25

Step by Step Solution

1. Step 1: Write the proportion equation
   72,784.50 : 159,146.25 = 159,146.25 : x
2. Step 2: Convert to fraction form
   72,784.50/159,146.25 = 159,146.25/x
3. Step 3: Cross multiply
   72,784.50x = 159,146.25 × 159,146.25
4. Step 4: Simplify right side
   72,784.50x = 25,327,528,889.06
5. Step 5: Solve for x
   x = 25,327,528,889.06/72,784.50
6. Step 6: Final answer
   x = 347,979.71