Finding the Third Proportional to 37,619 and 88,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,619 : 88,798.50 = 88,798.50 : x
2. Step 2: Convert to fraction form
   37,619/88,798.50 = 88,798.50/x
3. Step 3: Cross multiply
   37,619x = 88,798.50 × 88,798.50
4. Step 4: Simplify right side
   37,619x = 7,885,173,602.25
5. Step 5: Solve for x
   x = 7,885,173,602.25/37,619
6. Step 6: Final answer
   x = 209,606.15