Finding the Third Proportional to 99,585 and 149,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,585 : 149,485.50 = 149,485.50 : x
2. Step 2: Convert to fraction form
   99,585/149,485.50 = 149,485.50/x
3. Step 3: Cross multiply
   99,585x = 149,485.50 × 149,485.50
4. Step 4: Simplify right side
   99,585x = 22,345,914,710.25
5. Step 5: Solve for x
   x = 22,345,914,710.25/99,585
6. Step 6: Final answer
   x = 224,390.37