Finding the Third Proportional to 45,840 and 94,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,840 : 94,534.50 = 94,534.50 : x
2. Step 2: Convert to fraction form
   45,840/94,534.50 = 94,534.50/x
3. Step 3: Cross multiply
   45,840x = 94,534.50 × 94,534.50
4. Step 4: Simplify right side
   45,840x = 8,936,771,690.25
5. Step 5: Solve for x
   x = 8,936,771,690.25/45,840
6. Step 6: Final answer
   x = 194,955.75