Finding the Third Proportional to 84,730 and 176,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,730 : 176,477.50 = 176,477.50 : x
2. Step 2: Convert to fraction form
   84,730/176,477.50 = 176,477.50/x
3. Step 3: Cross multiply
   84,730x = 176,477.50 × 176,477.50
4. Step 4: Simplify right side
   84,730x = 31,144,308,006.25
5. Step 5: Solve for x
   x = 31,144,308,006.25/84,730
6. Step 6: Final answer
   x = 367,571.20