Finding the Third Proportional to 117,714 and 151,139

Step by Step Solution

1. Step 1: Write the proportion equation
   117,714 : 151,139 = 151,139 : x
2. Step 2: Convert to fraction form
   117,714/151,139 = 151,139/x
3. Step 3: Cross multiply
   117,714x = 151,139 × 151,139
4. Step 4: Simplify right side
   117,714x = 22,842,997,321
5. Step 5: Solve for x
   x = 22,842,997,321/117,714
6. Step 6: Final answer
   x = 194,055.06