Finding the Third Proportional to 100,363 and 146,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,363 : 146,775.50 = 146,775.50 : x
2. Step 2: Convert to fraction form
   100,363/146,775.50 = 146,775.50/x
3. Step 3: Cross multiply
   100,363x = 146,775.50 × 146,775.50
4. Step 4: Simplify right side
   100,363x = 21,543,047,400.25
5. Step 5: Solve for x
   x = 21,543,047,400.25/100,363
6. Step 6: Final answer
   x = 214,651.29