Finding the Third Proportional to 42,522 and 92,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,522 : 92,536.50 = 92,536.50 : x
2. Step 2: Convert to fraction form
   42,522/92,536.50 = 92,536.50/x
3. Step 3: Cross multiply
   42,522x = 92,536.50 × 92,536.50
4. Step 4: Simplify right side
   42,522x = 8,563,003,832.25
5. Step 5: Solve for x
   x = 8,563,003,832.25/42,522
6. Step 6: Final answer
   x = 201,378.20