Finding the Third Proportional to 72,834 and 150,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,834 : 150,727.50 = 150,727.50 : x
2. Step 2: Convert to fraction form
   72,834/150,727.50 = 150,727.50/x
3. Step 3: Cross multiply
   72,834x = 150,727.50 × 150,727.50
4. Step 4: Simplify right side
   72,834x = 22,718,779,256.25
5. Step 5: Solve for x
   x = 22,718,779,256.25/72,834
6. Step 6: Final answer
   x = 311,925.46