Finding the Third Proportional to 117,495 and 189,141.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,495 : 189,141.75 = 189,141.75 : x
2. Step 2: Convert to fraction form
   117,495/189,141.75 = 189,141.75/x
3. Step 3: Cross multiply
   117,495x = 189,141.75 × 189,141.75
4. Step 4: Simplify right side
   117,495x = 35,774,601,593.06
5. Step 5: Solve for x
   x = 35,774,601,593.06/117,495
6. Step 6: Final answer
   x = 304,477.65