Finding the Third Proportional to 64,710 and 137,196

Step by Step Solution

1. Step 1: Write the proportion equation
   64,710 : 137,196 = 137,196 : x
2. Step 2: Convert to fraction form
   64,710/137,196 = 137,196/x
3. Step 3: Cross multiply
   64,710x = 137,196 × 137,196
4. Step 4: Simplify right side
   64,710x = 18,822,742,416
5. Step 5: Solve for x
   x = 18,822,742,416/64,710
6. Step 6: Final answer
   x = 290,878.42