Finding the Third Proportional to 101,627.50 and 150,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,627.50 : 150,967.50 = 150,967.50 : x
2. Step 2: Convert to fraction form
   101,627.50/150,967.50 = 150,967.50/x
3. Step 3: Cross multiply
   101,627.50x = 150,967.50 × 150,967.50
4. Step 4: Simplify right side
   101,627.50x = 22,791,186,056.25
5. Step 5: Solve for x
   x = 22,791,186,056.25/101,627.50
6. Step 6: Final answer
   x = 224,262.00