Finding the Third Proportional to 83,070 and 177,012

Step by Step Solution

1. Step 1: Write the proportion equation
   83,070 : 177,012 = 177,012 : x
2. Step 2: Convert to fraction form
   83,070/177,012 = 177,012/x
3. Step 3: Cross multiply
   83,070x = 177,012 × 177,012
4. Step 4: Simplify right side
   83,070x = 31,333,248,144
5. Step 5: Solve for x
   x = 31,333,248,144/83,070
6. Step 6: Final answer
   x = 377,190.90