Finding the Third Proportional to 117,312 and 256,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,312 : 256,675.50 = 256,675.50 : x
2. Step 2: Convert to fraction form
   117,312/256,675.50 = 256,675.50/x
3. Step 3: Cross multiply
   117,312x = 256,675.50 × 256,675.50
4. Step 4: Simplify right side
   117,312x = 65,882,312,300.25
5. Step 5: Solve for x
   x = 65,882,312,300.25/117,312
6. Step 6: Final answer
   x = 561,599.09