Finding the Third Proportional to 106,722.50 and 150,156.75

Step by Step Solution

1. Step 1: Write the proportion equation
   106,722.50 : 150,156.75 = 150,156.75 : x
2. Step 2: Convert to fraction form
   106,722.50/150,156.75 = 150,156.75/x
3. Step 3: Cross multiply
   106,722.50x = 150,156.75 × 150,156.75
4. Step 4: Simplify right side
   106,722.50x = 22,547,049,570.56
5. Step 5: Solve for x
   x = 22,547,049,570.56/106,722.50
6. Step 6: Final answer
   x = 211,268.00