Finding the Third Proportional to 84,384 and 133,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,384 : 133,543.50 = 133,543.50 : x
2. Step 2: Convert to fraction form
   84,384/133,543.50 = 133,543.50/x
3. Step 3: Cross multiply
   84,384x = 133,543.50 × 133,543.50
4. Step 4: Simplify right side
   84,384x = 17,833,866,392.25
5. Step 5: Solve for x
   x = 17,833,866,392.25/84,384
6. Step 6: Final answer
   x = 211,341.80