Finding the Third Proportional to 120,199 and 183,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,199 : 183,476.50 = 183,476.50 : x
2. Step 2: Convert to fraction form
   120,199/183,476.50 = 183,476.50/x
3. Step 3: Cross multiply
   120,199x = 183,476.50 × 183,476.50
4. Step 4: Simplify right side
   120,199x = 33,663,626,052.25
5. Step 5: Solve for x
   x = 33,663,626,052.25/120,199
6. Step 6: Final answer
   x = 280,065.77