Finding the Third Proportional to 45,984 and 98,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,984 : 98,527.50 = 98,527.50 : x
2. Step 2: Convert to fraction form
   45,984/98,527.50 = 98,527.50/x
3. Step 3: Cross multiply
   45,984x = 98,527.50 × 98,527.50
4. Step 4: Simplify right side
   45,984x = 9,707,668,256.25
5. Step 5: Solve for x
   x = 9,707,668,256.25/45,984
6. Step 6: Final answer
   x = 211,109.70