Finding the Third Proportional to 42,840 and 92,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,840 : 92,829.50 = 92,829.50 : x
2. Step 2: Convert to fraction form
   42,840/92,829.50 = 92,829.50/x
3. Step 3: Cross multiply
   42,840x = 92,829.50 × 92,829.50
4. Step 4: Simplify right side
   42,840x = 8,617,316,070.25
5. Step 5: Solve for x
   x = 8,617,316,070.25/42,840
6. Step 6: Final answer
   x = 201,151.17