Finding the Third Proportional to 42,342 and 93,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,342 : 93,322.50 = 93,322.50 : x
2. Step 2: Convert to fraction form
   42,342/93,322.50 = 93,322.50/x
3. Step 3: Cross multiply
   42,342x = 93,322.50 × 93,322.50
4. Step 4: Simplify right side
   42,342x = 8,709,089,006.25
5. Step 5: Solve for x
   x = 8,709,089,006.25/42,342
6. Step 6: Final answer
   x = 205,684.40