Finding the Third Proportional to 121,407 and 183,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,407 : 183,802.50 = 183,802.50 : x
2. Step 2: Convert to fraction form
   121,407/183,802.50 = 183,802.50/x
3. Step 3: Cross multiply
   121,407x = 183,802.50 × 183,802.50
4. Step 4: Simplify right side
   121,407x = 33,783,359,006.25
5. Step 5: Solve for x
   x = 33,783,359,006.25/121,407
6. Step 6: Final answer
   x = 278,265.33