Finding the Third Proportional to 117,564,164 and 185,362,768

Step by Step Solution

1. Step 1: Write the proportion equation
   117,564,164 : 185,362,768 = 185,362,768 : x
2. Step 2: Convert to fraction form
   117,564,164/185,362,768 = 185,362,768/x
3. Step 3: Cross multiply
   117,564,164x = 185,362,768 × 185,362,768
4. Step 4: Simplify right side
   117,564,164x = 34,359,355,760,621,824
5. Step 5: Solve for x
   x = 34,359,355,760,621,824/117,564,164
6. Step 6: Final answer
   x = 292,260,452.43