Finding the Third Proportional to 53,485 and 83,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,485 : 83,185.50 = 83,185.50 : x
2. Step 2: Convert to fraction form
   53,485/83,185.50 = 83,185.50/x
3. Step 3: Cross multiply
   53,485x = 83,185.50 × 83,185.50
4. Step 4: Simplify right side
   53,485x = 6,919,827,410.25
5. Step 5: Solve for x
   x = 6,919,827,410.25/53,485
6. Step 6: Final answer
   x = 129,378.84