Finding the Third Proportional to 42,921 and 90,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,921 : 90,742.50 = 90,742.50 : x
2. Step 2: Convert to fraction form
   42,921/90,742.50 = 90,742.50/x
3. Step 3: Cross multiply
   42,921x = 90,742.50 × 90,742.50
4. Step 4: Simplify right side
   42,921x = 8,234,201,306.25
5. Step 5: Solve for x
   x = 8,234,201,306.25/42,921
6. Step 6: Final answer
   x = 191,845.51