Finding the Third Proportional to 117,789 and 257,577.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,789 : 257,577.75 = 257,577.75 : x
2. Step 2: Convert to fraction form
   117,789/257,577.75 = 257,577.75/x
3. Step 3: Cross multiply
   117,789x = 257,577.75 × 257,577.75
4. Step 4: Simplify right side
   117,789x = 66,346,297,295.06
5. Step 5: Solve for x
   x = 66,346,297,295.06/117,789
6. Step 6: Final answer
   x = 563,263.95