Finding the Third Proportional to 99,783 and 149,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,783 : 149,674.50 = 149,674.50 : x
2. Step 2: Convert to fraction form
   99,783/149,674.50 = 149,674.50/x
3. Step 3: Cross multiply
   99,783x = 149,674.50 × 149,674.50
4. Step 4: Simplify right side
   99,783x = 22,402,455,950.25
5. Step 5: Solve for x
   x = 22,402,455,950.25/99,783
6. Step 6: Final answer
   x = 224,511.75