Finding the Third Proportional to 84,528 and 196,555.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,528 : 196,555.50 = 196,555.50 : x
2. Step 2: Convert to fraction form
   84,528/196,555.50 = 196,555.50/x
3. Step 3: Cross multiply
   84,528x = 196,555.50 × 196,555.50
4. Step 4: Simplify right side
   84,528x = 38,634,064,580.25
5. Step 5: Solve for x
   x = 38,634,064,580.25/84,528
6. Step 6: Final answer
   x = 457,056.41