Finding the Third Proportional to 53,492 and 82,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,492 : 82,784.50 = 82,784.50 : x
2. Step 2: Convert to fraction form
   53,492/82,784.50 = 82,784.50/x
3. Step 3: Cross multiply
   53,492x = 82,784.50 × 82,784.50
4. Step 4: Simplify right side
   53,492x = 6,853,273,440.25
5. Step 5: Solve for x
   x = 6,853,273,440.25/53,492
6. Step 6: Final answer
   x = 128,117.73