Finding the Third Proportional to 42,834 and 92,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,834 : 92,047.50 = 92,047.50 : x
2. Step 2: Convert to fraction form
   42,834/92,047.50 = 92,047.50/x
3. Step 3: Cross multiply
   42,834x = 92,047.50 × 92,047.50
4. Step 4: Simplify right side
   42,834x = 8,472,742,256.25
5. Step 5: Solve for x
   x = 8,472,742,256.25/42,834
6. Step 6: Final answer
   x = 197,804.13