Finding the Third Proportional to 100,812 and 152,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,812 : 152,027.50 = 152,027.50 : x
2. Step 2: Convert to fraction form
   100,812/152,027.50 = 152,027.50/x
3. Step 3: Cross multiply
   100,812x = 152,027.50 × 152,027.50
4. Step 4: Simplify right side
   100,812x = 23,112,360,756.25
5. Step 5: Solve for x
   x = 23,112,360,756.25/100,812
6. Step 6: Final answer
   x = 229,262.00