Finding the Third Proportional to 45,782 and 94,501

Step by Step Solution

1. Step 1: Write the proportion equation
   45,782 : 94,501 = 94,501 : x
2. Step 2: Convert to fraction form
   45,782/94,501 = 94,501/x
3. Step 3: Cross multiply
   45,782x = 94,501 × 94,501
4. Step 4: Simplify right side
   45,782x = 8,930,439,001
5. Step 5: Solve for x
   x = 8,930,439,001/45,782
6. Step 6: Final answer
   x = 195,064.41