Finding the Third Proportional to 53,526 and 116,583

Step by Step Solution

1. Step 1: Write the proportion equation
   53,526 : 116,583 = 116,583 : x
2. Step 2: Convert to fraction form
   53,526/116,583 = 116,583/x
3. Step 3: Cross multiply
   53,526x = 116,583 × 116,583
4. Step 4: Simplify right side
   53,526x = 13,591,595,889
5. Step 5: Solve for x
   x = 13,591,595,889/53,526
6. Step 6: Final answer
   x = 253,925.12