Finding the Third Proportional to 42,920 and 92,985.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,920 : 92,985.50 = 92,985.50 : x
2. Step 2: Convert to fraction form
   42,920/92,985.50 = 92,985.50/x
3. Step 3: Cross multiply
   42,920x = 92,985.50 × 92,985.50
4. Step 4: Simplify right side
   42,920x = 8,646,303,210.25
5. Step 5: Solve for x
   x = 8,646,303,210.25/42,920
6. Step 6: Final answer
   x = 201,451.61